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Finding the Third Proportional to 58,987.50 and 128,341.50

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Solution

The third proportional to 58,987.50 and 128,341.50 is: 279,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,987.50 : 128,341.50 = 128,341.50 : x
  2. Step 2: Convert to fraction form
    58,987.50/128,341.50 = 128,341.50/x
  3. Step 3: Cross multiply
    58,987.50x = 128,341.50 × 128,341.50
  4. Step 4: Simplify right side
    58,987.50x = 16,471,540,622.25
  5. Step 5: Solve for x
    x = 16,471,540,622.25/58,987.50
  6. Step 6: Final answer
    x = 279,237.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.